Shares

1300 USD are divided among A, B, C and D in such a way that: share of (A/B)=(B/C)=(C/D) = (2/3)

Correct answer:

A =  160 USD
B =  240 USD
C =  360 USD
D =  540 USD

Step-by-step explanation:

x=1300 USD x = A+B+C+D  A:B=2:3≐0.6667=2:3 B:C=2:3≐0.6667=2:3 C:D=2:3≐0.6667=2:3   C = 2/3 ⋅  D  B = 2/3 ⋅  C = 2/3 ⋅  2/3 ⋅  D = 94​ D  A = 2/3⋅  B = 2/3⋅ 4/9 ⋅  D = 278​ D  278​D+94​D+32​D+D=x 278​D+94​D+32​D+D=1300  8/27⋅ D+4/9⋅ D+2/3⋅ D+D=1300  65D=35100  D=6535100​=540  D=540  C=32​⋅ D=32​⋅ 540=32⋅ 540​=31080​=360 B=32​⋅ C=32​⋅ 360=32⋅ 360​=3720​=240 A=32​⋅ B=32​⋅ 240=32⋅ 240​=3480​=160 USD

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